Local refinement of flat‐top partition of unity based high‐order approximation

• Main Authors: Liu, Xiaoying, Zhao, Zhiye, An, Xinmei, Jiao, Yuyong
• Other Authors: School of Civil and Environmental Engineering
• Format: Article
• Language: English
• Published: 2020
• Subjects: Engineering::Civil engineering; Flat-top Partition of Unity; High-order Approximation
• Online Access: https://hdl.handle.net/10356/137137
• Institution: Nanyang Technological University

The high‐order approximation with regularly patterned flat‐top partition of unity mesh in one‐ and two‐dimensional cases has been proven linearly independent. However, for problems with stress concentration or stress singularity, local refinement within the regular mesh is necessary to improve the a...